Search a number
-
+
3001028200 = 235219517691
BaseRepresentation
bin1011001011100000…
…0000111001101000
321202010222000202121
42302320000321220
522121230400300
61213442241024
7134240214232
oct26270007150
97663860677
103001028200
1113000029a5
126b9056174
1338a984541
142067d3252
151286e881a
hexb2e00e68

3001028200 has 48 divisors (see below), whose sum is σ = 6981874560. Its totient is φ = 1199640000.

The previous prime is 3001028189. The next prime is 3001028231. The reversal of 3001028200 is 28201003.

It is a happy number.

It is a super-4 number, since 4×30010282004 (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386355 + ... + 394045.

It is an arithmetic number, because the mean of its divisors is an integer number (145455720).

Almost surely, 23001028200 is an apocalyptic number.

It is an amenable number.

3001028200 is an abundant number, since it is smaller than the sum of its proper divisors (3980846360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3001028200 is a wasteful number, since it uses less digits than its factorization.

3001028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9658 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3001028200 is about 54781.6410853125. The cubic root of 3001028200 is about 1442.4143204880.

Adding to 3001028200 its reverse (28201003), we get a palindrome (3029229203).

The spelling of 3001028200 in words is "three billion, one million, twenty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1951 3902 7691 7804 9755 15382 15608 19510 30764 38455 39020 48775 61528 76910 78040 97550 153820 192275 195100 307640 384550 390200 769100 1538200 15005141 30010282 60020564 75025705 120041128 150051410 300102820 375128525 600205640 750257050 1500514100 3001028200